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Research Article | Open Access

Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

Basit Ali1, Muzammil Ali1, Azhar Hussain2, Reny George3( ), Talat Nazir4
Department of Mathematics, School of Science, University of Management and Technology, C-Ⅱ, Johar Town, Lahore, 54770, Pakistan
Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa
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Abstract

This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.

Keywords

best proximity pointquasi-contractionfuzzy contractive mapping
CLC number: 47H09, 47H10, 54H25

References

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16590-16611
DOI: 10.3934/math.2022909

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Cite this article:
Ali B, Ali M, Hussain A, et al. Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words. AIMS Mathematics, 2022, 7(9): 16590-16611. https://doi.org/10.3934/math.2022909

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Received: 22 March 2022
Revised: 18 June 2022
Accepted: 23 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)